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The parametric bootstrap can be used for the efficient computation of Bayes posterior distributions. Importance sampling formulas take on an easy form relating to the deviance in exponential families and are particularly simple starting…

Applications · Statistics 2013-01-15 Bradley Efron

Bootstrap smoothed (bagged) estimators have been proposed as an improvement on estimators found after preliminary data-based model selection. Efron, 2014, derived a widely applicable formula for a delta method approximation to the standard…

Methodology · Statistics 2019-07-11 Paul Kabaila , Christeen Wijethunga

For a variant of the algorithm in [Pit19] (arXiv:1903.10816) to compute the approximate density or distribution function of a linear mixture of independent random variables known by a finite sample, it is presented a proof of the functional…

Statistics Theory · Mathematics 2019-06-19 Thomas Pitschel

This paper investigates the (in)-consistency of various bootstrap methods for making inference on a change-point in time in the Cox model with right censored survival data. A criterion is established for the consistency of any bootstrap…

Methodology · Statistics 2013-08-01 Gongjun Xu , Bodhisattva Sen , Zhiliang Ying

Bootstrapping is a useful technique for estimating the uncertainty of a predictor, for example, confidence intervals for prediction. It is typically used on small to moderate sized datasets, due to its high computation cost. This work…

Machine Learning · Computer Science 2013-12-19 Zhen Qin , Vaclav Petricek , Nikos Karampatziakis , Lihong Li , John Langford

We consider the performance of the bootstrap in high-dimensions for the setting of linear regression, where $p<n$ but $p/n$ is not close to zero. We consider ordinary least-squares as well as robust regression methods and adopt a minimalist…

Methodology · Statistics 2016-08-03 Noureddine El Karoui , Elizabeth Purdom

The Bootstrap method application in simulation supposes that value of random variables are not generated during the simulation process but extracted from available sample populations. In the case of Hierarchical Bootstrap the function of…

Artificial Intelligence · Computer Science 2013-03-29 A. Andronov , M. Fioshin

In the recent paper [5], a Bayesian approach for constructing confidence intervals in monotone regression problems is proposed, based on credible intervals. We view this method from a frequentist point of view, and show that it corresponds…

Statistics Theory · Mathematics 2023-08-01 Piet Groeneboom , Geurt Jongbloed

Measuring average differences in an outcome across racial or ethnic groups is a crucial first step for equity assessments, but researchers often lack access to data on individuals' races and ethnicities to calculate them. A common solution…

Methodology · Statistics 2024-03-12 Benjamin Lu , Jia Wan , Derek Ouyang , Jacob Goldin , Daniel E. Ho

Residual-based analysis is generally considered a cornerstone of statistical methodology. For a special case of indirect regression, we investigate the residual-based empirical distribution function and provide a uniform expansion of this…

Methodology · Statistics 2018-03-01 Nicolai Bissantz , Justin Chown , Holger Dette

Approximate Bayesian computation (ABC) and synthetic likelihood (SL) techniques have enabled the use of Bayesian inference for models that may be simulated, but for which the likelihood cannot be evaluated pointwise at values of an unknown…

Computation · Statistics 2018-01-19 Richard G. Everitt

In this paper, we consider possibly misspecified stochastic differential equation models driven by L\'{e}vy processes. Regardless of whether the driving noise is Gaussian or not, Gaussian quasi-likelihood estimator can estimate unknown…

Statistics Theory · Mathematics 2021-10-11 Yuma Uehara

Insurers are faced with the challenge of estimating the future reserves needed to handle historic and outstanding claims that are not fully settled. A well-known and widely used technique is the chain-ladder method, which is a deterministic…

Methodology · Statistics 2017-01-17 Kris Peremans , Pieter Segaert , Stefan Van Aelst , Tim Verdonck

A general approach to selective inference is considered for hypothesis testing of the null hypothesis represented as an arbitrary shaped region in the parameter space of multivariate normal model. This approach is useful for hierarchical…

Statistics Theory · Mathematics 2018-03-28 Yoshikazu Terada , Hidetoshi Shimodaira

The smooth bootstrap for estimating copula functionals in small samples is investigated. It can be used both to gauge the distribution of the estimator in question and to augment the data. Issues arising from kernel density and distribution…

Computation · Statistics 2022-03-28 Maximilian Coblenz , Oliver Grothe , Klaus Herrmann , Marius Hofert

The bootstrap variance estimate is widely used in semiparametric inferences. However, its theoretical validity is a well known open problem. In this paper, we provide a {\em first} theoretical study on the bootstrap moment estimates in…

Statistics Theory · Mathematics 2014-09-23 Guang Cheng

Meta-analyses require an effect-size estimate and its corresponding sampling variance from primary studies. In some cases, estimators for the sampling variance of a given effect size statistic may not exist, necessitating the derivation of…

This paper considers inference for conditional moment inequality models using a multiscale statistic. We derive the asymptotic distribution of this test statistic and use the result to propose feasible critical values that have a simple…

Applications · Statistics 2015-12-10 Timothy B. Armstrong , Hock Peng Chan

An important disadvantage of the h-index is that typically it cannot take into account the specific field of research of a researcher. Usually sample point estimates of the average and median h-index values for the various fields are…

Digital Libraries · Computer Science 2017-08-29 C. Malesios , S. Psarakis

Network models are applied in numerous domains where data can be represented as a system of interactions among pairs of actors. While both statistical and mechanistic network models are increasingly capable of capturing various dependencies…

Methodology · Statistics 2018-07-02 Sixing Chen , Jukka-Pekka Onnela
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